F空间统一结构（英、法）
Une Structure Uniforme sur un Espace F(E,F)
摘要：
设E是拓扑空间，F是一致空间.我们引入一个新的拓扑（实际上是一个统一的结构）称为V-收敛的应用空间从E到F，使C（E，F）是封闭的，这个拓扑的限制C（E，F）是等价于逐点收敛。换句话说，这个拓扑是保持连续性的粗拓扑。我们给出了这种拓扑的一个不涉及极限的收敛准则。其中保留的属性是可数序数α的可测性和α-borelianity。
英文摘要：
Let E be a topological space and F a uniform space. We introduce a new topology (in fact a uniform structure) called the V-congergence on the space of applications from E to F such that C(E,F) is closed for this topology and the restriction of this topology to C(E,F) is equivalent to pointwise convergence. In other words this topology is the coarsest preserving continuity. We give a criterion of convergence for this topology not involving the limit. Among properties preserved are mesurability and alpha-borelianity for a countable ordinal alpha.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
